Welcome to the forum Nick.
As for a site in distance, that will depend on the field you will be shooting on, to be the most use.
If you are engaging a large quantity of your 'hogs at 200 or 300 yards, then that makes sense to zero your rifle at one of these ranges.
On the other hand, if you are frequently engaging your targets at 100 yards, and don't plan on using a Mil-Dot to provide the "hold under dope" - it wouldn't make sense to put your zero at double or triple that distance.
.223 WSSM is a cartridge that is capable of some decent terminal ballistics out to about 500 yards, according to some charts I have seen. You can probably stretch it further, but the velocity drops off, which means the energy impacted also drops. On gophers/groundhogs/small varmints, probably not a super serious concern.
Of concern to me, on the surface at least, is the ability to push a .22 caliber projectile at such outlandish speeds ( 3700 to 4000 fps )
. That will probably make your gunsmith happy if you are going serious groundhog shooting for a long weekend and putting hundreds of rounds downrange. You might need to buy replacement barrels in a six pack. LOL
Out of curiosity, what is your twist rate on the barrel and what loads are you shooting?